can someone help me with rolling a dice

Question

An ordinary (fair) die is a cube with the numbers 1

 through 6

 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.Compute the probability of each of the following events:

Event A

: The sum is greater than 6

.

Event B

: The sum is an odd number.

Answer 1

there are 36 possible outcomes, some of which are redundant 1,1 1,2 1,3 .... 6,4 6,5 6,6

the total number of outcomes that total greater than six is 21 (1,6 2,5 2,6 3,4 3,5 ..... 6,5 6,6

the probability of an outcome totaling greater than 6 is 21/36 reduces to 7/12

of the 36 possible outcomes 18 of these are odd and 18 are even

the probability of the sum totaling an odd number is 18/36 reduces to 1/2